Looks like you have a 240 VAC × 16/32 VAC Split Coil (Secondary) 1Ø Isolated Transformer - judging from the Voltages listed and the Terminals
(Input = 208 VAC, Output = 240 VAC - hence the 32 VAC Secondary, + H1, H2, X1, X2, X3, X4).
Take a look at these Schematics from the Technical Reference Section:
Image #1: Pictorial View
Image #2: 1 Line View
Actually, the Voltages listed in these Schematics differ from yours, but the concepts are the same.
Along with this, instead of having a Split Coil Primary, or a Primary setup for use at either 120 or 240 VAC as these drawings show, your Transformer has a Single Primary Coil wound for 240 VAC (or 208 VAC).
The Terminals on your Xformer would be "H1"
only, so in this case, your Transformer would have the "H2"
Termination done to where the "H4"
Termination is shown in the Schematics.
This way, the Secondary Coils are in a Series Adding Connection methodology...
FYI, refer to the Tech. Reference section for more drawings and details, regarding the Voltage Boosting and Voltage Bucking setups.
Let us know if you do not understand this information, and if the Transformer is salvagable,
or you are able to Put The Smoke Back Inside The Windings